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w đô hegative signs act graphs? c. What differences do you notice between the graphs of x2 and – x2 or x³ and – x³? d. What differences do you notice between the graphs of (x + 2)² and (-x + 2)² (x – 5)3 and (-x – 5)3?

w đô hegative signs act graphs? c. What differences do you notice between the graphs of x2 and – x2 or x³ and – x³? d. What differences do you notice between the graphs of (x + 2)² and (-x + 2)² (x – 5)3 and (-x – 5)3?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. How do negative signs impact graphs? c. What differences do you notice between the graphs of \(x^2\) and \(-x^2\) or \(x^3\) and \(-x^3\)? d. What differences do you notice between the graphs of \((x + 2)^2\) and \((−x + 2)^2\) or \((x − 5)^3\) and \((−x − 5)^3\)?
Transcribed Image Text:5. How do negative signs impact graphs? c. What differences do you notice between the graphs of \(x^2\) and \(-x^2\) or \(x^3\) and \(-x^3\)? d. What differences do you notice between the graphs of \((x + 2)^2\) and \((−x + 2)^2\) or \((x − 5)^3\) and \((−x − 5)^3\)?
Expert Solution
Step 1

Given:

c) x2 and -x2

     If the negative sign belongs to the y, then the graph will flip about the x-axis.

    If the negative sign belongs to the x, then the graph will flip about the y-axis.

Graph of x2:

       Calculus homework question answer, step 1, image 1

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